Question
A car covers the first 120 km at a speed of 60 km/h and
the next 180 km at a speed of 90 km/h. What is the average speed of the car for the whole journey?Solution
Total distance = 120 + 180 = 300 km Time for first 120 km = 120 / 60 = 2 hours Time for next 180 km = 180 / 90 = 2 hours Total time = 4 hours Average speed = Total distance / Total time = 300 / 4 = 75 km/h
If sin A - cos A = 3/7, then find value of sinA + cos B, where A is an acute angle.
If sin (2x + 50) o = cos (2y - 50) o, such that, 0o < x + y < 90o, then find the value of tan(x + y) .
If cos2B = sin(1.5B + 41o), then find the measure of 'B'.
[(sinx – 2sin 3 x)/(2cos 3 x – cosx)] 2 + 1, x ≠45 o , is equal to:
If sec A + tan A = (5/2) and sec A - tan A = (2/5), find the value of cos A.
Find the value of: (Sin2 60 ° X cos 30 ° X sec 60°)/tan 30°
Simplify the following trigonometric expression:
8 cos 40° cosec 50° − 2 cot 30° cot 60°
- If cos A = 1/2, then what will be the value of tan² A + 1?
- If sec 2P = sin² 60⁰ + sec 60⁰ - cos² 30⁰, then determine the value of (√3tan P + cot² P)
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